Does he respect me or are we lacking sexual chemistry?

I recently started dating someone I work with (M 34). He is fairly new at our company and asked me out on a date the first week he got hired. He’s very attractive and I agreed. He kissed me at the end of our first date and immediately asked to see me again a couple days later. We ended up going on 5 more dates which he paid for it all. Never let me even touch my wallet and picked me up at my apartment every single time. He has been so sweet. We always made out at the end of our dates. Super passionate make out sessions. We have not gone to each others places and have not had sex… but I want to. He hasn’t initiated it though and hasn’t invited me over to his house. I know he lives alone fyi. Is this bc he respects me or bc we lack sexual chemistry and maybe he’s not that into me? Should I initiate it? If so, how do I get him to invite me back to his place?

Does he respect me or are we lacking sexual chemistry?
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